Find the inverse of the function.f(x) = x3 + 7
A. f-1(x) =
B. Not a one-to-one function
C. f-1(x) =
D. f-1(x) = - 7
Answer: A
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Find a polynomial of least degree with only real coefficients and having the given zeros.4 + , 4 -
, and 3
A. f(x) = x3 + 11x2 + 38x - 42 B. f(x) = x3 - 11x2 + 38x - 42 C. f(x) = x3 - 13x2 + 38x + 44 D. f(x) = x3 - 13x2 + 38x + 42
Solve the problem.An arch for a bridge over a highway is in the form of a semiellipse. The top of the arch is 35 feet above ground (the major axis). What should the span of the bridge be (the length of its minor axis) if the height 30 feet from the center is to be 13 feet above ground?
A. 50.48 ft B. 32.31 ft C. 161.54 ft D. 64.62 ft
Find the first term a1 and the common difference d of the arithmetic sequence.4, 16, 28, 40, 52, . . .
A. a1 = 4, d = 12 B. a1 = 4, d = 4 C. a1 = 12, d = 8 D. a1 = 12, d = -12
Solve the problem.An insurance company says that at age 50 one must choose to take at age 60, $30,000 at 70, or
at 80 ($0 death benefit). The probability of living from 50 to 60 is 0.85, from 50 to 70,
, and from 50 to 80, 0.46. Find the expected value at each age.
A. 60 - $8500 70 - $13,800 80 - $23,000 B. 60 - $8500 70 - $18,300 80 - $23,000 C. 60 - $6100 70 - $18,300 80 - $23,000 D. 60 - $8500 70 - $25,500 80 - $42,500